Greatest Common Factor of 8461/833, 1330/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 8461/833, 1330/669

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8461/833,1330/669

Given fractions are 8461/833,1330/669

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8461,1330

Greatest Common Factor of Numerators i.e. GCF of 8461,1330 is 1 .

LCM of Denominators means LCM of 833,669 as per the given fractions.

LCM of 833,669 is 557277 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8461,1330

GCF of Fractions 8461/833,1330/669 is 1/557277

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8461,1330 By Matching Biggest Common Factor Method

Greatest Common Factor of 8461,1330 By Matching Biggest Common Factor Method

Factors of 8461

List of positive integer factors of 8461 that divides 8461 without a remainder.

1,8461

Factors of 1330

List of positive integer factors of 1330 that divides 1330 without a remainder.

1,2,5,7,10,14,19,35,38,70,95,133,190,266,665,1330

Greatest Common Factor

We found the factors 8461,1330 . The biggest common factor number is the GCF number.
So the greatest common factor 8461,1330 is 1.


Lets's calculate LCM of 833,669

Given numbers has no common factors except 1. So, there LCM is their product i.e 557277

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/557277

Therefore, the GCF of Fractions 8461/833,1330/669 is 1/557277

Least Common Multiple of 833,669 with GCF Formula

Least Common Multiple of 833,669 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 833,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(833,669) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(833,669) x common factors =1 x 1 = 1

LCM(833,669) = ( 833 × 669 ) / 1

LCM(833,669) = 557277 / 1

LCM(833,669) = 557277


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 8461/833, 1330/669

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8461/833, 1330/669?

Answer: GCF of Numerators as per given numbers 8461/833, 1330/669 is

GCF of Numerators i.e. for 8461,1330 is 1

LCM of denominators i.e. for 833,669 is 557277.

Thus, GCF of Fractions is 1/557277.Finally, GCF of Fractions for 8461/833, 1330/669 is 1/557277.